Torsion units in integral group rings of conway simple groups

V. A. Bovdi; A. B. Konovalov; S. Linton; M. Newman

doi:10.1142/S0218196711006376

Torsion units in integral group rings of conway simple groups

V. A. Bovdi, A. B. Konovalov, S. Linton, M. Newman

Research output: Contribution to journal › Article › peer-review

13 Citations (Scopus)

Abstract

Using the LutharPassi method, we investigate the possible orders and partial augmentations of torsion units of the normalized unit group of integral group rings of Conway simple groups Co₁, Co₂ and Co ₃.

Original language	English
Pages (from-to)	615-634
Number of pages	20
Journal	International Journal of Algebra and Computation
Volume	21
Issue number	4
DOIs	https://doi.org/10.1142/S0218196711006376
Publication status	Published - Jun 2011
Externally published	Yes

Keywords

Conway simple groups
Zassenhaus conjecture
integral group ring
partial augmentation
torsion unit

ASJC Scopus subject areas

Mathematics(all)

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10.1142/S0218196711006376

Cite this

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title = "Torsion units in integral group rings of conway simple groups",

abstract = "Using the LutharPassi method, we investigate the possible orders and partial augmentations of torsion units of the normalized unit group of integral group rings of Conway simple groups Co1, Co2 and Co 3.",

keywords = "Conway simple groups, Zassenhaus conjecture, integral group ring, partial augmentation, torsion unit",

author = "Bovdi, {V. A.} and Konovalov, {A. B.} and S. Linton and M. Newman",

note = "Funding Information: The research was supported by OTKA No. K68383.",

year = "2011",

month = jun,

doi = "10.1142/S0218196711006376",

language = "English",

volume = "21",

pages = "615--634",

journal = "International Journal of Algebra and Computation",

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T1 - Torsion units in integral group rings of conway simple groups

AU - Bovdi, V. A.

AU - Konovalov, A. B.

AU - Linton, S.

AU - Newman, M.

N1 - Funding Information: The research was supported by OTKA No. K68383.

PY - 2011/6

Y1 - 2011/6

N2 - Using the LutharPassi method, we investigate the possible orders and partial augmentations of torsion units of the normalized unit group of integral group rings of Conway simple groups Co1, Co2 and Co 3.

AB - Using the LutharPassi method, we investigate the possible orders and partial augmentations of torsion units of the normalized unit group of integral group rings of Conway simple groups Co1, Co2 and Co 3.

KW - Conway simple groups

KW - Zassenhaus conjecture

KW - integral group ring

KW - partial augmentation

KW - torsion unit

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M3 - Article

AN - SCOPUS:79959728890

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VL - 21

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EP - 634

JO - International Journal of Algebra and Computation

JF - International Journal of Algebra and Computation

IS - 4

ER -

Torsion units in integral group rings of conway simple groups

Abstract

Keywords

ASJC Scopus subject areas

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